The Mazur Intersection Problem
Journal of convex analysis, Tome 13 (2006) no. 3, pp. 739-75
Voir la notice de l'article provenant de la source Heldermann Verlag
Bounded closed convex sets in Euclidean space can be characterised by two distinct ball separation properties which in a general normed linear space are not equivalent. The study of these two separation properties has led to interesting developments in classifying those Banach spaces where these different characterisations of bounded closed convex sets hold.
@article{JCA_2006_13_3_JCA_2006_13_3_a15,
author = {J. R. Giles},
title = {The {Mazur} {Intersection} {Problem}},
journal = {Journal of convex analysis},
pages = {739--75},
publisher = {mathdoc},
volume = {13},
number = {3},
year = {2006},
url = {http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a15/}
}
J. R. Giles. The Mazur Intersection Problem. Journal of convex analysis, Tome 13 (2006) no. 3, pp. 739-75. http://geodesic.mathdoc.fr/item/JCA_2006_13_3_JCA_2006_13_3_a15/